Rational Numbers Unit Review

Rational Numbers Unit Review

Aim: How can we summarize all operations with rational numbers?

Addition

• 5 + 4 = 9

• -3 + (-7) = -10

• 16 + (-5) = 11

• 4 + (-8) = -4

Open Ended

Find the sum of 4 + (-9). Why must the sum be negative?

Open Ended

Find the sum of (-5) + (-7). Why does the sum have to be negative?

Open Ended

Find the sum of (-2) + 7. Why does the sum have to be positive?

Subtraction

• 16 - 4 = 12

• 12 - (-5) = 12 + 5= 17

• -9 - (-3) = -9 + 3 = -6

• -5 - 6 = -5 + (-6) = -11

Open Ended

Find the difference of 6 - (-3).

HINT: Use KCC

Open Ended

Find the difference of -12 - (-3).

HINT: Use KCC

Open Ended

Find the difference of -12 - 8.

HINT: Use KCC

Multiplication and Division

• 3 x 5 = 15

• 15/3 = 5

• (-2)(-4)=8

• -8/(-2)=4

• (-4)(3)=-12

• -12/3 = -4

Multiple Choice

(5)(-2)

• 3

• -3

• 10

• -10

Multiple Choice

-30/(-10)

• -3

• 3

• -40

• -20

Multiple Choice

(-2)(8)

• 6

• -6

• 16

• -16

Multiple Choice

 $\frac{4}{7}\left(-\frac{3}{4}\right)$  

•  $\frac{12}{11}$  

•  $-\frac{12}{11}$  

•  $\frac{3}{7}$  

•  $-\frac{3}{7}$  

Multiple Choice

 $\frac{3}{4}\div\left(-\frac{1}{2}\right)$  

•  $\frac{6}{4}$  

•  $-1\frac{2}{4}$  

•  $\frac{3}{8}$  

•  $-\frac{3}{8}$  

Multiple Choice

 $-3\frac{1}{2}\left(-\frac{1}{2}\right)$  

•  $-\frac{7}{4}=-1\frac{3}{4}$  

•  $\frac{7}{4}=1\frac{3}{4}$